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Golden rule when working with any kind of angle: Make sure you are using the correct unit. In this case, you should be using radians, not degrees.
Math.sin(i * interval * Math.PI / 180);
Math.cos(i * interval * Math.PI / 180);
If you want to fire bullets directly between boss and player, use atan2, FYI.

Depends on what you mean by "libraries". Flixel and FlashPunk are basically Game-Engines and have implementations for collision-detection, particles, animation, save-games, audio playback etc.
Other than these two you mentioned, there's also the Push Button Engine which is more modular than the other two.
If you're interested in learning Flixel or ...

You are doing the division the wrong way round, and you are using degrees rather than radians, like the maths functions do. By chance this results in a pattern that look a bit like the desired. Just fix your calculation of the interval variable.
var interval : Number = 2 * Math.PI / BULLETS_PER_WAVE;
Edit: For those not familiar with the concept this code ...

You could consider running a simple PID controller in your game. It's simple to implement in a function like the one you have already.
By tweaking the parameters (or computing them, there are many techniques) you should be able to get a pretty neat behaviour.
Be sure to run your physics loop with a fixed time step though, as this is necessary to achieve ...

I'd say you should start without a framework, just to get used to ActionScript and the core flash classes. Maybe write something very basic like Pong.
When you feel comfortable with ActionScript and the core concepts, feel free to use a framework like Flixel or FlashPunk (look here to get started). They are quite different from the usual Flash philosophy, ...

I think you should do 360 / BULLETS_PER_WAVE instead which gives in your case 360 / 72 = 5 degrees between each bullet.
Also are you sure that the Math.sin and Math.cos functions wants their input in degrees and not radians?

Apart from possible degree/radian issue, I reckon the main problem is that you're using integer values for the calculations. You haven't shown GameConstants.BULLET_NORMAL_SPEED_X or its Y counterpart but make sure they are represented as floating point numbers, not integers. Alternatively, cast them into floating point values during the multiplication for ...

Keep in mind that the Internet Channel (Opera browser) uses Adobe Flash Lite 3.1; Basically Flash 8 with some Flash 9 features.
I would perhaps target the Wii but make the game accessible to any browser. Best of both worlds. Think of it more like a regular browser on an ancient machine using the Flash 8 plugin and you shouldn't have too much trouble.
...

This question pretty much covers the software part.
Then I suggest you use a framework like Flixel or Flashpunk for your game as it will allow you to:
Build a game rather quickly and...
Doesn't require Flash IDE to create graphics, since these engines are Bitmap based (so you could use GIMP or other image editing software to create your sprites).

The question isn't "Is it used?" (it is, even stuff like menus and whatnot are non-trivial bits of AS code in many games), but "How much?". Unless you have some UI/UX experience it may be somewhat difficult to find a job as a dedicated Scaleform person. Even if a team needs to make a minigame like that, it might be a week or two of work at the most, no need ...

Apple changed their mind about Flash-derived apps (as seen here). Developers can use Adobe's Packager for iPhone to convert Flash apps to native iPhone apps. The Flash VM is still not supported in the iPhone's browser.

You can't take a flash app and just have it run on an iOS device as-is. CS5 does have an export process to put projects on a device. I'm assuming it's running in a VM or is some kind of cross compiler or something.
Using Flash in CS5 for iOS

As @Iain mentioned, that is not why the WiiFlash was made.
You will be using actionscript 2.0 to make Flash Games for the WII.
There is a title out there on this subject:Nintendo Wii Flash Game Creator's Guide
HTH

Service Stack for services and serves up XML, JSON etc. Amazing in general for setting up the services. Also cross platform.
As far as 'DB communication', if you are able to use Windows Server for hosting, Entity Framework works well, and very easy to use and code against. There might be alternatives like DbLinq (Linq To SQL for Mono), but haven't tried it ...

Use a framework; I recommend Flixel because it's the one I'm familiar with. There's no real value in reinventing the wheel, and Flixel makes development much faster and easier, which means that you'll see results faster and you'll get experience more quickly.
Frameworks help to structure your game, so you'll make fewer rookie mistakes with regard to ...

I'd recommend you to start without any framework like flixel, flashpunk or even Box2d. They do really make life simpler to you by keeping in mind the ancient programmer philosophy "Don't always reinvent the wheel"
If you start programming games with just flash, these would be your plus points
You learn little bit about the essential computer graphics ...

Consider increasing your dampening as you get closer to the target height or making a boolean switch for a fixed increase once you've reached the target and until another height is set. That would allow you to have faster movement without sacrificing your ability to stop or requiring much change in code.

The WiiFlash project was for using the wiimote on PC/Mac games. I think you want to look at the MarioToo project for creating wii browser games. To be honest though, why bother? You've got a much bigger audience to target with Flash by going for the general PC/Mac/Linux audience.

There is not one silver bullet. You can use an event driven paradigm:
Whenever something happens in your game that can be relevant for a quest, raise an event.
Define classes for your quests with event listeners to react to these events.
Store the currently active quests (and their status and parameters) in a database
When initializing your game state, ...

I am probably resurrecting a very old topic, but I open-sourced a small platformer game I made for an artist on Flash Game License. The game didn't sell (as I never thought it would) but I made it for the learning experience.
Take a look here:
http://www.github.com/ericmbernier/GemCollector
Be forewarned though, the code is pretty ugly in spots, as I ...

I'm assuming you're using the Flash IDE?
If your file isn't an Actionscript class, just use the include statement. Eg. on frame 2, write:
include "myFile.as";
If you're using classes, there's an option in the Actionscript-3 settings, where you can specify a frame where classes should be imported to. So if your class is MyClass, just call something like ...

For the last Ludum Dare competition there were some games that used FlashPunk:
#1 Flee Buster - Chevy Ray (creator of FlashPunk)
#7 McPixel - Sos
#8 Hollow - Connor Ullman
#27 Reach For It - Noel Berry
Once you start browsing the FlashPunk forums, these names will become familiar. Oh yeah, the forums have tutorials too.